A model for a thin magnetostrictive actuator

In this paper, we propose a model for dynamic magnetostrictive hysteresis in a thin rod actuator. We derive two equations that represent magnetic and mechanical dynamic equilibrium. Our model results from an application of the energy balance principle. It is a dynamic model as it accounts for inertial effects and mechanical dissipation as the actuator deforms, and also eddycurrent losses in the ferromagnetic material. We also show rigorously that the model admits a periodic solution that is asymptotically stable when a periodic forcing function is applied.